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Volumn 34, Issue 6, 2006, Pages 2315-2331

Estimates of moments and tails of Gaussian chaoses

Author keywords

Gaussian chaoses; Gaussian processes; Metric entropy

Indexed keywords


EID: 33947544423     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117906000000421     Document Type: Article
Times cited : (132)

References (10)
  • 1
    • 33947507174 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequalities and concentration of measure for convex functions and polynomial chaoses
    • MR2163396
    • ADAMCZAK, R. (2005). Logarithmic Sobolev inequalities and concentration of measure for convex functions and polynomial chaoses. Bull. Polish Acad. Sci. Math. 53 221-238. MR2163396
    • (2005) Bull. Polish Acad. Sci. Math , vol.53 , pp. 221-238
    • ADAMCZAK, R.1
  • 2
    • 33947547454 scopus 로고    scopus 로고
    • Moment inequalities for U-statistics
    • ADAMCZAK, R. (2005). Moment inequalities for U-statistics. Ann. Probab. 34 2288-2314.
    • (2005) Ann. Probab , vol.34 , pp. 2288-2314
    • ADAMCZAK, R.1
  • 3
    • 0000874693 scopus 로고
    • On decoupling, series expansions, and tail behaviour of chaos processes
    • MR1201060
    • ARCONES, M. and GINÉ, E. (1993). On decoupling, series expansions, and tail behaviour of chaos processes. J. Theoret. Probab. 6 101-122. MR1201060
    • (1993) J. Theoret. Probab , vol.6 , pp. 101-122
    • ARCONES, M.1    GINÉ, E.2
  • 4
    • 33947500550 scopus 로고
    • Seminar Notes on Multiple Stochastic Integration, Polynomial Chaos and Their Integration
    • Case Western Reserve Univ, Cleveland
    • BORELL, C. (1984). On the Taylor series of a Wiener polynomial. In Seminar Notes on Multiple Stochastic Integration, Polynomial Chaos and Their Integration. Case Western Reserve Univ., Cleveland.
    • (1984) On the Taylor series of a Wiener polynomial
    • BORELL, C.1
  • 5
    • 84967710235 scopus 로고
    • Bounds for the tail probabilities of U-statistics and quadratic forms
    • MR1261237
    • DE LA PEÑA, V. H. and MONTGOMERY- SMITH, S. (1994). Bounds for the tail probabilities of U-statistics and quadratic forms. Bull. Amer. Math. Soc. 31 223-227. MR1261237
    • (1994) Bull. Amer. Math. Soc , vol.31 , pp. 223-227
    • DE LA PEÑA, V.H.1    MONTGOMERY- SMITH, S.2
  • 6
    • 0038126290 scopus 로고
    • A bound on tail probabilities for quadratic forms in independent random variables
    • MR0279864
    • HANSOM, D. L. and WRIGHT, F. T. (1971). A bound on tail probabilities for quadratic forms in independent random variables. Ann. Math. Statist. 42 1079-1083. MR0279864
    • (1971) Ann. Math. Statist , vol.42 , pp. 1079-1083
    • HANSOM, D.L.1    WRIGHT, F.T.2
  • 7
    • 17344379325 scopus 로고    scopus 로고
    • Tail and moment estimates for some types of chaos
    • MR1686370
    • LATAŁA, R. (1999). Tail and moment estimates for some types of chaos. Studio Math. 135 39-53. MR1686370
    • (1999) Studio Math , vol.135 , pp. 39-53
    • LATAŁA, R.1
  • 8
    • 33947545458 scopus 로고    scopus 로고
    • LEDOUX, M. (2001). The Concentration of Measure Phenomenon. Amer. Math. Soc., Providence, RI. MR1849347
    • LEDOUX, M. (2001). The Concentration of Measure Phenomenon. Amer. Math. Soc., Providence, RI. MR1849347
  • 9
    • 33947543090 scopus 로고    scopus 로고
    • LEDOUX, M. and TALAGRAND, M. (1991). Probability in Banach Spaces: Isoperimetry and Processes. Springer, New York. MR1102015
    • LEDOUX, M. and TALAGRAND, M. (1991). Probability in Banach Spaces: Isoperimetry and Processes. Springer, New York. MR1102015
  • 10
    • 33947515486 scopus 로고    scopus 로고
    • Moment and tail estimates for multidimensional chaoses generated by symmetric random variables with logarithmically concave tails
    • ŁOCHOWSKI, R. (2006). Moment and tail estimates for multidimensional chaoses generated by symmetric random variables with logarithmically concave tails. Banach Center Publ. 72 161-176.
    • (2006) Banach Center Publ , vol.72 , pp. 161-176
    • ŁOCHOWSKI, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.